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Simplifying 2(3 + -1x) = 3(6 + 2x) + 2 (3 * 2 + -1x * 2) = 3(6 + 2x) + 2 (6 + -2x) = 3(6 + 2x) + 2 6 + -2x = (6 * 3 + 2x * 3) + 2 6 + -2x = (18 + 6x) + 2 Reorder the terms: 6 + -2x = 18 + 2 + 6x Combine like terms: 18 + 2 = 20 6 + -2x = 20 + 6x Solving 6 + -2x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -2x + -6x = 20 + 6x + -6x Combine like terms: -2x + -6x = -8x 6 + -8x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -8x = 20 + 0 6 + -8x = 20 Add '-6' to each side of the equation. 6 + -6 + -8x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 20 + -6 -8x = 20 + -6 Combine like terms: 20 + -6 = 14 -8x = 14 Divide each side by '-8'. x = -1.75 Simplifying x = -1.75
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